Question

A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of Neema Toads. In a sample of 8 Neema Toads of Species I, 1.1% had the mutation while in a sample of 14 Neema Toads of Species II, 1.9% showed the mutation. Is there significant evidence to suggest a difference in the prevalence of the mutation across the two species? Conduct a hypothesis test at a significance level of α = 0.05 .

a) The hypotheses for this test are:

H0: pI - pII = 0 Ha: pI - pII > 0

H0: pI - pII = 0 Ha: pI - pII < 0

H0: pII = 0.011 Ha: pII ≠ 0.011

H0: pI - pII = 0 Ha: pI - pII ≠ 0

b) What is the test statistic for this test? (Report answer accurate to 2 decimal places.)

c) What is the p-value for this test? (Report answer accurate to 4 decimal places.)

e) The decision reached is

Fail to reject H0

Reject H0 and accept Ha

f) As such, the final conclusion is that

There is significant evidence to suggest a difference between prevalence of the mutation across the two species

There is not significant evidence to suggest a difference in the prevalence of the mutation across the two species

There is significant evidence that suggests no difference in the prevalence of the mutation across the two species.

The prevalence of the mutation is the same for both species.

Answer 1